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The difference between archeology and looting a tomb is based, today, on two points:
These are the theoretical differences. Now, you could object that taking objects out of a tomb and showing them in a museum is a kind of "making money by looting the tomb". And opening the tomb is still a sacrilege in some religions. That is why we must consider historical reasons:
Archaeology started by opening tombs that were of no more importance to contemporaries: nobody honored Old Egypt's Gods or Pharaohs in the 20th century when English archaeologists opened them. Not even contemporary Egyptians. So that is why the motive of knowing more about Old Egypt and showing objects in museums was accepted by nearly everyone by the time. Evenmore, opening contemporary tombs (let's said Georges Washington's tomb) would of no help in knowing more about the Independance War. Later on, even tombs that were erected on the basis of contemporary values were opened on the motive of archaeology: that is, for example, Polish Christian Kings' tombs were opened in contemporary Christian Poland.